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Finding the Third Proportional to 112,826.50 and 240,142

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Solution

The third proportional to 112,826.50 and 240,142 is: 511,122.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,826.50 : 240,142 = 240,142 : x
  2. Step 2: Convert to fraction form
    112,826.50/240,142 = 240,142/x
  3. Step 3: Cross multiply
    112,826.50x = 240,142 × 240,142
  4. Step 4: Simplify right side
    112,826.50x = 57,668,180,164
  5. Step 5: Solve for x
    x = 57,668,180,164/112,826.50
  6. Step 6: Final answer
    x = 511,122.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.